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Self-consistent Langmuir waves in resonantly driven thermal plasmas

Phys. Plasmas 14, 122103 (2007); doi:10.1063/1.2801714

Published 6 December 2007

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R. R. Lindberg, A. E. Charman, and J. S. Wurtele
Department of Physics, University of California, Berkeley, Berkeley, California 94720, USA and Center for Beam Physics, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
The longitudinal dynamics of a resonantly driven Langmuir wave are analyzed in the limit that the growth of the electrostatic wave is slow compared to the bounce frequency. Using simple physical arguments, the nonlinear distribution function is shown to be nearly invariant in the canonical particle action, provided both a spatially uniform term and higher-order spatial harmonics are included along with the fundamental in the longitudinal electric field. Requirements of self-consistency with the electrostatic potential yield the basic properties of the nonlinear distribution function, including a frequency shift that agrees closely with driven, electrostatic particle simulations over a range of temperatures. This extends earlier work on nonlinear Langmuir waves by Morales and O'Neil [G. J. Morales and T. M. O'Neil, Phys. Rev. Lett. 28, 417 (1972)] and Dewar [R. L. Dewar, Phys. Plasmas 15, 712 (1972)], and could form the basis of a reduced kinetic treatment of plasma dynamics for accelerator applications or Raman backscatter. ©2007 American Institute of Physics
History: Received 23 January 2007; accepted 3 October 2007; published 6 December 2007
Permalink: http://link.aip.org/link/?PHPAEN/14/122103/1
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KEYWORDS and PACS

Keywords
PACS
  • 52.35.Fp
    Plasma electrostatic waves and oscillations e.g., ion-acoustic waves
  • 52.35.Mw
    Nonlinear phenomena: plasma waves, wave propagation and other interactions including parametric effects, mode coupling, ponderomotive effects, etc
  • 52.35.Sb
    Plasma solitons; BGK modes
  • YEAR: 2007

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ISSN:
1070-664X (print)   1089-7674 (online)
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